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The Laboratory of Self-Organization System Modeling

e-mail: alxkrot@newman.bas-net.by
telephone: +(375 17) 284-20-86

LABORATORY IN BRIEF
The Laboratory of Self-Organization System Modeling (LSSM) is a basic laboratory of the IEC in the field of investigation of complex dynamic system.
The main aims and tasks of the LSSM are the following:

· development and investigation of complex dynamic system models received on the basis of experimental data by input-output representation and state space methods;
· creation of effective computer technology for digital signal processing of different physical nature.
The LSSM was established at the IEC in 1993. But the researches in domain of dynamic system modeling have been carried out by the main groups scientists from this laboratory since middle 80th.
STAFF
Prof., D.Sc. Alexander M.Krot has been elected as the head of the lssm in 1993. Now the lssm has 10 persons, including 3 senior scientists with Ph.D. degree A.Boriskevich, H.Minervina, M.Dolgikh.
The middle age of the LSSM collaborators is 31 (the head of the lssm is 35 years old).
RESEARCH FIELDS
Principal scientific areas of interest of the lssm are as follows:
· nonlinear dynamic system identification and modeling;
· fast algorithms and procedures;
· spectral analysis in discrete function bases;
· digital filtering and restoration;
· compression of information;
· spectral-correlation identification of signals (images);
· complex system state recognition;
· optimal discrete control of dynamic objects.
Applications where these tasks have been and are used:
· digital signal and image processing (mainly

medical nature);
· diagnostics and prediction of dynamic system behavior.

The following applications were created:
· software of 1D and 2D digital spectral analysis with 2-3 times lower computational complexity, more than 2 times lower computational error, with 1,5-2 times higher resolution of analysis as compared to known approaches;
· the digital 1D and 2D FIR-filters (direct and inverse) were synthesized on the basis of fast Fourier-like transform algorithms and sectionalization convolution methods;
· software for accelerated compressing of signals and images based on new fast algorithms of 1D and 2D discrete orthogonal transforms, which allows to reduce information up to 4-8 times and increase the compressing speed in 2-3 times;
· software for restoration of signal and images, distorted by means of blur and defocusing;
· software for correlative-extremal identification of digital images reduced the object detection time in 1,5-2 times;
· a new approach to design of dynamic object control algorithms based on polynomial Diophantine equations.
Systems and software created in the lssm have been inculcated and used at the Institute of Precise Instrument Building (Moscow, Russia), the Industrial Amalgamation "AvtoVAZ" (Toliatti, Russia), the Industrial Amalgamation "Integral" (Minsk, Belarus), the Science Amalgamation "Algorithm" (Tashkent, Uzbekistan), the Institute of Applied Astronomy (St.-Petersburg, Russia), the Institute of Nuclear Physics of the Russian Academy of Sciences (St.-Petersburg, Russia), the Academic Science Complex "Institute of heat and mass exchange" (Minsk, Belarus), the Department of General Physics of the Belarusian State University (Minsk, Belarus), the State Institute of Applied Optics (Kazan, Russia), the Science-Industrial Amalgamation "Geophysics" (Moscow, Russia),.
PROJECTS
At present the lssm has the following projects:
· Development of theory, methods and computer models for analysis and recognition of dynamic processes in self-organization systems;
· Theory and methods of discrete system modeling with temporary and spatial dynamics for task decision of digital signal processing;
· Development of fast algorithms of the optimal discrete control of dynamic objects based on polynomial Diophantine calculus;
· Identification and modeling of nonlinear dynamic systems based on orthogonal functional Volterra-Wiener series;
· Mathematical methods development of modeling active media for investigating common laws of self-organization processes origin and evolution in them.
INTERNATIONAL ACTIVITY
At present the lssm has the contacts with following scientific centers:
· National School of Engineering in Telecommunication (NSET), Paris, France;
· University of Oslo, Department of Informatics, Oslo, Norway;
· Ilya Prigogine Center, University of Texas at Austin, Texas, USA;
· University Center of Berkeley, California, USA;
· Institute of Medicine Informatics and Biometrie, Aachen , Germany.
The LSSM researchers participated in international conferences such as ISATA, SPIE, LSPIC et al.
Prof., D.Sc. A.M.Krot is a member of American Mathematical Society (AMS), International Society for Optical Engineering (SPIE), vice-president of Hardware Description Languages Application and Development Association of Belarusian Republic.
TRAINING
The lssm scientists participate in a teaching process at the following levels:
· graduate level. The LSSM has a strong links with Department of Radiophysics of the Belarusian State University (BSU) and Department of Radioengineering Systems of the Belarusian State University of Informatics and Radioelectronics (BSUIR). D.Sc. A.M.Krot works part-time as Professor at the Department of Radioengineering Systems of the BSUIR. He delivers the lectural course "Digital signal processing" and seminars;
· postgraduate level. In 1991 A.M. Krot received D.Sc. degree. Three Candidates of sciences (Ph.D.) have been prepared under his scientific leadership: H.B.Minervina (1989), B.H.Abdurakhmanov (1992), M.N.Dolgikh (1993). Now the LSSM has five postgraduate students.
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